Information on Result #638109
Linear OA(5103, 115, F5, 71) (dual of [115, 12, 72]-code), using concatenation of two codes based on
- linear OA(2517, 23, F25, 17) (dual of [23, 6, 18]-code or 23-arc in PG(16,25)), using
- discarding factors / shortening the dual code based on linear OA(2517, 25, F25, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,25)), using
- Reed–Solomon code RS(8,25) [i]
- discarding factors / shortening the dual code based on linear OA(2517, 25, F25, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,25)), using
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5103, 115, F5, 70) (dual of [115, 12, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5103, 115, F5, 69) (dual of [115, 12, 70]-code) | [i] | ||
| 3 | Linear OA(5102, 114, F5, 70) (dual of [114, 12, 71]-code) | [i] | Truncation | |
| 4 | Linear OA(5101, 113, F5, 69) (dual of [113, 12, 70]-code) | [i] | ||
| 5 | Linear OA(5100, 112, F5, 68) (dual of [112, 12, 69]-code) | [i] | ||
| 6 | Linear OA(599, 111, F5, 67) (dual of [111, 12, 68]-code) | [i] | ||
| 7 | Linear OA(597, 109, F5, 65) (dual of [109, 12, 66]-code) | [i] | ||
| 8 | Linear OA(596, 108, F5, 64) (dual of [108, 12, 65]-code) | [i] | ||
| 9 | Linear OA(595, 107, F5, 63) (dual of [107, 12, 64]-code) | [i] | ||
| 10 | Linear OA(594, 106, F5, 62) (dual of [106, 12, 63]-code) | [i] | ||
| 11 | Linear OOA(5103, 57, F5, 2, 71) (dual of [(57, 2), 11, 72]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(5103, 38, F5, 3, 71) (dual of [(38, 3), 11, 72]-NRT-code) | [i] | ||